Browsing University of Waterloo by Supervisor "Emerson, Joseph"
Now showing items 1-13 of 13
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Classical simulations of quantum systems using stabilizer decompositions
(University of Waterloo, 2021-02-19)One of the state of the art techniques for classically simulating quantum circuits relies on approximating the output state of the circuit by a superposition of stabilizer states. If the number of non-Clifford gates in ... -
Concepts and methods for benchmarking quantum computers
(University of Waterloo, 2021-07-09)Quantum computers have the potential to bring about a new age of technology, but in order for them to become a reality, the elephant in the room must be addressed, quantum errors. The complexity of quantum errors grows ... -
Contextuality and Ontological Models: A Tale of Desire and Disappointment
(University of Waterloo, 2019-09-23)Since being defined by Kochen and Specker, and separately by Bell, contextuality has been proposed as one of the key phenomena that distinguishing quantum theory from classical theories. However, with the rise of quantum ... -
Exploring Practical Methodologies for the Characterization and Control of Small Quantum Systems
(University of Waterloo, 2018-09-04)We explore methodologies for characterizing and controlling small quantum systems. We are interested in starting with a description of a quantum system, designing estimators for parameters of the system, developing robust ... -
Improved Diagnostics & Performance for Quantum Error Correction
(University of Waterloo, 2023-08-04)Building large scale quantum computers is one of the most exciting ventures being pursued by researchers in the 21st century. However, the presence of noise in quantum systems poses a major hindrance towards this ambitious ... -
Non-Markovianity in Logical Fidelity Estimation
(University of Waterloo, 2021-02-26)As quantum devices are progressively scaled and refined, quantum codes will become indispensable to guarantee reliable computation in the presence of noise. Due to the difficulties of characterizing physical noise, direct ... -
On Realistic Errors in Quantum Computers
(University of Waterloo, 2021-05-27)In this thesis, we are concerned with the problem of characterizing noise associated with implementations of quantum circuits. We first explore the notion of error rates of quantum circuits and argue that the semantic ... -
A Polar Decomposition for Quantum Channels: Theory and Applications
(University of Waterloo, 2019-08-23)Every potential benefit of quantum computers would be lost without methods to protect the computations from error. Quantum channels provide a framework for understanding error in quantum systems. In general, for a system ... -
Theory and Mitigation of Crosstalk on Quantum Information Processors
(University of Waterloo, 2023-09-08)Successfully implementing large-scale quantum computation has proven to be an exceptionally arduous task. Decoherence and imperfect control limit the coherent manipulation of large ensembles of particles. While quantum ... -
Three Results in Quantum Physics
(University of Waterloo, 2019-05-09)This thesis is split into three disjoint sections. The first deals with two practical issues regarding the use of unitary 2-designs. A simplified description of how to generate elements of the smallest known unitary 2-design ... -
Topics in Fault-Tolerant Quantum Computation
(University of Waterloo, 2017-01-12)This thesis contains the results of research projects broadly related to the pursuit of universal fault-tolerant quantum computation. We are interested in questions such as which resources are required to achieve a quantum ... -
Understanding sequential measurements in psi-epistemic ontological models
(University of Waterloo, 2019-08-06)Since the famous debates of Einstein & Bohr, physicists have argued about the nature of the quantum state. Is it best thought of as describing the-way-things-are out there in the world, or merely as a description of our ... -
A walk through quantum noise: a study of error signatures and characterization methods
(University of Waterloo, 2019-09-17)The construction of large scale quantum computing devices might be one of the most exciting and promising endeavors of the 21st century, but it also comes with many challenges. As quantum computers are supplemented with ...